Quantitative propagation of chaos for Lindblad dynamics
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918489060540416 |
|---|---|
| author | Amini, Nina H. Chalal, Sofiane |
| author_facet | Amini, Nina H. Chalal, Sofiane |
| contents | We consider an open quantum system governed $N$-body Lindblad equation and study mean-field limits in this setting. We prove that the $N$-particle dynamics converges, in the sense of quantum relative entropy, to the tensorized solution of the limiting nonlinear equation. More precisely, we establish explicit bounds of order $1/N$ on the relative entropy between the $N$-particle density operator and the corresponding product state, thereby providing a quantitative propagation of chaos. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06973 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantitative propagation of chaos for Lindblad dynamics Amini, Nina H. Chalal, Sofiane Mathematical Physics Quantum Physics 82C22, 81P17, 81S22 We consider an open quantum system governed $N$-body Lindblad equation and study mean-field limits in this setting. We prove that the $N$-particle dynamics converges, in the sense of quantum relative entropy, to the tensorized solution of the limiting nonlinear equation. More precisely, we establish explicit bounds of order $1/N$ on the relative entropy between the $N$-particle density operator and the corresponding product state, thereby providing a quantitative propagation of chaos. |
| title | Quantitative propagation of chaos for Lindblad dynamics |
| topic | Mathematical Physics Quantum Physics 82C22, 81P17, 81S22 |
| url | https://arxiv.org/abs/2605.06973 |